Home
Class 12
MATHS
Find the domain of the following functio...

Find the domain of the following function: `f(x)=1/([|x-1|]+[|12-x|]-11)`, where `[x]` denotes the greatest integer not greater than `x`.

Text Solution

Verified by Experts

The correct Answer is:
`R-{(0,1)uu{1,2,…………,12}uu(12,13)}`
NA
Promotional Banner

Topper's Solved these Questions

  • RELATION, FUNCTION & ITF

    RESONANCE|Exercise SSP|55 Videos

  • RELATION, FUNCTION & ITF

    RESONANCE|Exercise JEE MAIN|15 Videos

  • NUMBER THEORY

    RESONANCE|Exercise Exercise -2 (PART - II)|4 Videos

  • SEQUENCE & SERIES

    RESONANCE|Exercise EXERCISE -2 (PART-II : PREVIOUSLY ASKED QUESTION OF RMO)|3 Videos

Similar Questions

Explore conceptually related problems

Find the range of the following function: f(x)=ln(x-[x]), where [.] denotes the greatest integer function

Find the domain and range of the following function: f(x)=log_([x-1])sinx, where [ ] denotes greatest integer function.

Find [2.75], if [x] denotes greatest integer not greater than x ?

Find the domain of the function f(x)=(1)/([x]^(2)-7[x]-8) , where [.] represents the greatest integer function.

Domain of the function f(x)=(1)/([sinx-1]) (where [.] denotes the greatest integer function) is

Find the domain of function f(x)= (1)/([abs(x-1)]+[abs(7-x)]-6) where [*] denotes the greatest integral function .

If f(x)=[2x], where [.] denotes the greatest integer function,then

The domain of definition of the function f(x)=(1)/(sqrt(x-[x])), where [.] denotes the greatest integer function,is:

Find the domain and range of the following function: f(x)=cos^(-1)sqrt(log_([x])(|x|)/x) , whre [.] denotes the greatest integer function.

The domain of the function f(x)=log_([x+(1)/(2)])|x^(2)-x-6|* where [] denotes the greatest integer function,is

RESONANCE-RELATION, FUNCTION & ITF-HLP_TYPE
  1. The domain of the function f(x)=sqrt(1/((x|-1)cos^(- 1)(2x+1)tan3x)) ...

    Text Solution

    |

  2. The domain of the function sqrt(log(1/3) log4 ([x]^2 - 5 )) is (where...

    Text Solution

    |

  3. Find the domain of the following function: f(x)=1/([|x-1|]+[|12-x|]-11...

    Text Solution

    |

  4. Domain of the function f(x) = (x+0. 5)^log(0. 5+x)((x^2+2x-3)/(4x^2-4x...

    Text Solution

    |

  5. Find the domain of the following function: f(x)=5/([(x-1)/2])-3^(sin^(...

    Text Solution

    |

  6. Find the domain of the following function: 3^(y)+2x^(4)=2^(4x^(2)-1)

    Text Solution

    |

  7. The range of the function f(x) = sin^(-1)[x^2+1/2]+cos^(-1)[x^2-1/2], ...

    Text Solution

    |

  8. find the range of the function f(x)=1/(2{-x})-{x} occurs at x equals ...

    Text Solution

    |

  9. If f:RtoR,f(x)=(sqrt(x^(2)+1)-3x)/(sqrt(x^(2)+1)+x) then find the rang...

    Text Solution

    |

  10. If a function is defined as f(x)=sqrt(log(h(x))g(x)), where g(x)=|sinx...

    Text Solution

    |

  11. Find the domain and range of the following function: f(x)=cos^(-1)sq...

    Text Solution

    |

  12. Find the domain and range of the following function: f(x)=sqrt(log(1...

    Text Solution

    |

  13. f(x)=sin^-1[log2(x^2/2)] where [ . ] denotes the greatest integer func...

    Text Solution

    |

  14. Find the domain and range of the following function: f(x)=log([x-1])...

    Text Solution

    |

  15. Find the domain and range of the following function: f(x)=tan^(-1)(s...

    Text Solution

    |

  16. If f(x)=(sin^2x+4sinx+5)/(2sin^2x+8sinx+8) then range of f(x) is

    Text Solution

    |

  17. Find range of the function f(x)=log(2)[3x-[x+[x+[x]]]] (where [.] is...

    Text Solution

    |

  18. If f(x)=1/(x^(2)+1) and g(x)=sinpix+8{x/2} where {.} denotes fractiona...

    Text Solution

    |

  19. If the range of the function f(x)={x/4}+cospi(((1-2[x]))/2)="sin"((pi[...

    Text Solution

    |

  20. The period of sin(pi/4)x+cos(pi/2)x+cos(pi/3)x is

    Text Solution

    |